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Tessellation is repeating a pattern over and over and filling an area with no overlaps and no gaps. Some shapes can't do this, because they don't fit with themselves without leaving big gaps between the parts.
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∙ 8y ago
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How 3D shape tessellate?
Some 3D shapes will tessellate as for example a brick wall
Can 2 shapes tessellate?
yess
How do you create a quilt only using geometric shapes?
Select a shape that tessellates. Some shapes will tessellate by themselves, others will tessellate in pairs (octagons and squares), or larger groups. See the link for a flavour.
Why can only some shapes tessellate?
Shapes can tessellate only if a number of them can meet at a point and cover 360 degrees without overlap. For regular shapes this requires that the angles of the shape are a factor of 360 degrees. For non-regular shapes it is necessary that the angles of the shapes can be grouped so that they sum to 360 degrees.
What type of shapes are easy to tessellate?
Triangles.
Do all shapes tessellate?
No not all shapes tessellate.
How 3D shape tessellate?
Some 3D shapes will tessellate as for example a brick wall
Which polygons tessellate with other shapes?
For any polygon, there will be other shapes such that, together, they can tessellate.
What shapes don't tessellate?
I believe that regular shapes will only tessellate if the sum of their internal angles is a multiple of 180.
Can a regular nonogon tessellate?
yes, most regular shapes can tessellate :)
Can 2 shapes tessellate?
yess
Does a dodecagon tessellate?
Yes it does tessellate. * * * * * That is simply not true. No polygon with 7 or more sides will tessellate with identical shapes.
How do you create a quilt only using geometric shapes?
Select a shape that tessellates. Some shapes will tessellate by themselves, others will tessellate in pairs (octagons and squares), or larger groups. See the link for a flavour.
Why can only some shapes tessellate?
Shapes can tessellate only if a number of them can meet at a point and cover 360 degrees without overlap. For regular shapes this requires that the angles of the shape are a factor of 360 degrees. For non-regular shapes it is necessary that the angles of the shapes can be grouped so that they sum to 360 degrees.
Will a trapezium and a triangle tessellate together?
If their shapes are suitably matched they can tessellate together.
What type of shapes are easy to tessellate?
Triangles.
Can a semicircle tessellate with other shapes?
Yes. Any shape can tessellate if you allow other shapes. The simplest way is to select the other shapes so that the given shape and the "other shapes" can be combined to make a rectangle or square.
